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在三角形三条边长之比及其内切圆半径已知的情况下可以确定唯一的三角形,由此提出了一种基于三角形内切圆的星图识别算法。构建了导航星表,每个导航三角形按照导航星之间的角距升序来存储,构造了能够反映导航三角形三边之间关系的特征量T为索引,存储三角形内切圆半径R为识别量;在星图识别过程中,利用特征量T进行搜索、三角形内切圆半径R进行识别,若识别结果不唯一,则进一步采用三角形角距的方法进行识别。仿真结果表明:该方法对位置误差和星等误差均有较好的鲁棒性;当存在2像元的位置噪声时,识别成功率大于97.48%,平均识别时间为22.64 ms。
In the case that the ratio of the three sides of the triangle and the radius of the inscribed circle are known, a unique triangle can be determined, and a star-shaped image recognition algorithm based on the triangle inscribed circle is proposed. A navigation star catalog is constructed. Each navigation triangle is stored in ascending order of angle between navigation stars. The feature T which can reflect the relationship between the three sides of the navigation triangle is constructed as an index, and the radius of the inscribed circle of the storage triangle is identified as the identification quantity. During the process of star chart recognition, the search is performed by using the characteristic value T, and the radius R of the inscribed circle of the triangle is identified. If the recognition result is not unique, the triangle angle is further used for identification. The simulation results show that the proposed method has good robustness to both position error and magnitude error. When there is 2-pixel position noise, the recognition success rate is more than 97.48% and the average recognition time is 22.64 ms.